416493740160 has 512 divisors, whose sum is σ = 1506965299200. Its totient is φ = 108686831616.

The previous prime is 416493740147. The next prime is 416493740167. The reversal of 416493740160 is 61047394614.

416493740160 is a `hidden beast` number, since 41 + 64 + 93 + 7 + 401 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (416493740167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188713777 + ... + 188715983.

It is an arithmetic number, because the mean of its divisors is an integer number (2943291600).

Almost surely, 2^416493740160 is an apocalyptic number.

416493740160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416493740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753482649600).

416493740160 is an abundant number, since it is smaller than the sum of its proper divisors (1090471559040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416493740160 is a wasteful number, since it uses less digits than its factorization.

416493740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 416493740160 in words is "four hundred sixteen billion, four hundred ninety-three million, seven hundred forty thousand, one hundred sixty".